Power pseudovarieties of semigroups. I
type: Item
instance of: scholarly article
title: Power pseudovarieties of semigroups. I
zbMATH Open document ID: 0588.20033
DOI: 10.1007/BF02573209
author: Jorge Almeida
published in: Semigroup Forum
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134819
review text: For a semigroup S, P(S) denotes the semigroup of all subsets of S, and \(P'(S)=P(S)\setminus \{\emptyset \}\); for a pseudovariety V, PV (P'V) is the pseudovariety generated by all P(S) (P'(S), resp.), \(S\in V\). The main result is a characterization of P'(V) for pseudovarieties V such that every \(S\in V\) satisfies some identity of the form \(x_ 1...x_ kyx_ 1...x_ k=x_ 1...x_ k\).
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 08C15
zbMATH DE Number: 3944149
zbMATH Keywords: power pseudovariety
zbMATH Keywords: pseudovarieties
zbMATH Keywords: identity
MaRDI profile type: Publication
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OpenAlex ID: W2076045314
description: scientific article; zbMATH DE number 3944149